13 citations · 31 across the 4 of their papers we have counts for
5 papers
BPX Preconditioners for Isogeometric Analysis Using (Truncated) Hierarchical B-splines
Cesare Bracco, Durkbin Cho, Carlotta Giannelli +1
We present the construction of additive multilevel preconditioners, also known as BPX preconditioners, for the solution of the linear system arising in isogeometric adaptive scheme…
BPX preconditioners for isogeometric analysis using analysis-suitable T-splines
Durkbin Cho, Rafael Vázquez
We propose and analyze optimal additive multilevel solvers for isogeometric discretizations of scalar elliptic problems for locally refined T-meshes. Applying the refinement strate…
Bases of T-meshes and the refinement of hierarchical B-splines
Dmitry Berdinsky, Tae-wan Kim, Durkbin Cho +2
In this paper we consider spaces of bivariate splines of bi-degree (m, n) with maximal order of smoothness over domains associated to a two-dimensional grid. We define admissible c…
Generalized T-splines and VMCR T-meshes
Cesare Bracco, Durkbin Cho
The paper considers the extension of the T-spline approach to the Generalized B-splines (GB-splines), a relevant class of non-polynomial splines. The Generalized T-splines (GT-spli…
Auxiliary space preconditioners for linear elasticity based on generalized finite element methods
James Brannick, Durkbin Cho
We construct and analyze a preconditioner of the linear elastiity system discretized by conforming linear finite elements in the framework of the auxiliary space method. The auxili…